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Title:Families of Rank Zero Twists of Elliptic Curves
Author(s):Iskra, Boris
Doctoral Committee Chair(s):Boston, Nigel
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The objective of this thesis is to generalize this result to a bigger class of elliptic curves. We are going to generalize Serf's result to the family of elliptic curves with full 2-torsion, i.e. elliptic curves of the form $E:y\sp2 = (x-e\sb1)(x-e\sb2)(x-e\sb3)$ with $e\sb{i}\in\doubz.$ We can also assume that $e\sb1 = 0$ and that $e\sb2$ and $e\sb3$ are both odd.
Issue Date:1998
Type:Text
Language:English
Description:48 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998.
URI:http://hdl.handle.net/2142/86961
Other Identifier(s):(MiAaPQ)AAI9904488
Date Available in IDEALS:2015-09-28
Date Deposited:1998


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